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Finiteness for parabolic group actions in classical groups

Finiteness for parabolic group actions in classical groups
Finiteness for parabolic group actions in classical groups
In this paper we classify all instances when a parabolic subgroup P of a classical algebraic group acts with only finitely many orbits on the l-th member of the descending central series of the unipotent radical Pu of P for l ^ 1. This extends results from [2] and [3].
Parabolic group actions
0003-889X
81-87
Bruestle, Thomas
964d175a-1e43-401e-acf2-13db62e69f43
Hille, Lutz
3ff2d97b-b3eb-487e-9066-d7449dc60d3b
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886
Bruestle, Thomas
964d175a-1e43-401e-acf2-13db62e69f43
Hille, Lutz
3ff2d97b-b3eb-487e-9066-d7449dc60d3b
Roehrle, Gerhard
85f9d4eb-d522-4a95-bde9-300e8e3e7886

Bruestle, Thomas, Hille, Lutz and Roehrle, Gerhard (2001) Finiteness for parabolic group actions in classical groups. Archiv der Mathematik, 76 (2), 81-87. (doi:10.1007/s000130050545).

Record type: Article

Abstract

In this paper we classify all instances when a parabolic subgroup P of a classical algebraic group acts with only finitely many orbits on the l-th member of the descending central series of the unipotent radical Pu of P for l ^ 1. This extends results from [2] and [3].

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More information

Submitted date: September 1999
Published date: February 2001
Keywords: Parabolic group actions

Identifiers

Local EPrints ID: 39035
URI: https://eprints.soton.ac.uk/id/eprint/39035
ISSN: 0003-889X
PURE UUID: 988f4ba3-d458-4608-9628-a69244a5a148

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Date deposited: 16 Jun 2006
Last modified: 17 Jul 2017 15:37

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Contributors

Author: Thomas Bruestle
Author: Lutz Hille
Author: Gerhard Roehrle

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